Equivalence Principle for Massive Bodies. II. Theory

Kenneth Nordtvedt, Jr.
Phys. Rev. 169, 1017 – Published 25 May 1968
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Abstract

The acceleration of a massive body in an external field for general space-time geometrical gravitational theories is obtained. The condition on the metric is such that mgmi=1 is obtained, and we reobtain the result that mgmi=1 in Einstein's theory for massive objects with time-independent internal structure. But it is shown that a measurement of mgmi for astronomical bodies would measure space-time metric components which have not been measured in other gravitational experiments. In the scalar-tensor gravitational theory due to Brans and Dicke, it is shown that mgmi differs from 1 by a term of the order of the massive body's gravitational self-energy divided by its total energy.

  • Received 16 October 1967

DOI:https://doi.org/10.1103/PhysRev.169.1017

©1968 American Physical Society

Authors & Affiliations

Kenneth Nordtvedt, Jr.

  • Department of Physics, Montana State University, Bozeman, Montana

See Also

Equivalence Principle for Massive Bodies. I. Phenomenology

Kenneth Nordtvedt, Jr.
Phys. Rev. 169, 1014 (1968)

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Issue

Vol. 169, Iss. 5 — May 1968

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